Answer:
look at the pivots (the leading 1's of the rows)
Step-by-step explanation:
Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.
The Great Lakes have a water area of about 2.44 X 105 square
kilometers. One of them, Lake Huron, has a water area of about
6.0 x 104 square kilometers. What approximate fraction of the total
water area of the Great Lakes does Lake Huron represent?
Answer:
15/61 ≈ 1/4
Step-by-step explanation:
The fraction is the area of Lake Huron divided by the total area.
(6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61
This is approximately 15/60 = 1/4.
The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.
Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy
The number of soda bottles Katie bought is 6
The given parameters are:
Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99Assume the number of soda bottle is x.
So, we have:
[tex]Total = Pizza + Soda \times x[/tex]
This gives
[tex]23.99 = 14.99 + 1.50\times x[/tex]
Subtract 14.99 from both sides of the equations
[tex]9 = 1.50\times x[/tex]
Divide both sides of the equations by 1.5
[tex]6=x[/tex]
Rewrite the equation as
[tex]x = 6[/tex]
Hence, the number of bottles is 6
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X=8,2x+y=12 solve by substitution show work
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's substitute the value of x as 8 in the given equation to find the value of y ~
[tex] \sf2x + y = 12[/tex][tex] \sf(2 \times 8) + y = 12[/tex][tex] \sf16 + y = 12[/tex][tex] \sf y = 12 - 16[/tex][tex] \sf y = - 4[/tex]• The outside temperature changes -4.8°F in 4 hours. What is the average change in temperature each hour?
-19.2°F
-12.2°F
-1.8°F
-1.2°F
Answer:
-1.2°F
Step-by-step explanation:
-4.8F = 4 hours
Divide both sides by 4 to get one side to 1 hour
-4.8F/4 = 4 hours / 4
-1.2F = 1 hour
The average change in temperature each hour is -1.2°F
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that the outside temperature changes -4.8°F in 4 hours
We need to find the average change in temperature each hour
To find this we need to use division.
We need to divide -4.8 by 4
-4.8/4
Minus four point eight divided by 4
-1.2
Hence, the average change in temperature each hour is -1.2°F
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What is the unit of time (t) when calculating interest?
Answer:
t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.
Step-by-step explanation:
Billy is ordering 7 identical sandwiches and a drink. The drink costs $2.5 and the entire order costs $140.5. Write an equation you can use to find the price of a sandwich.
Answer: $17.92/sandwich
Step-by-step explanation:
Let S be the price of a sandwich ($/sandwich).
7S is the total cost of the sandwiches. Add a drink for $2.50 to find the total cost, which we are told comes to $140.50
7S + $2.50 = $140.50
7S = $138
S = $19.7143
It is odd that this includes a fraction of a single penny (0.43 cents). Something is incorrect in the data given, since this should equal a whole number. For now, I'll round up to $19.72. The additional 7*($0.0043) = 4 cents will be treated as a tip.
diferencia entre el bote el pase y tiro en el baloncesto
Answer:
difference between bounce, pass and shot in basketball
Enter the value of :
Answer:49
Step-by-step explanation: The square root of a number is a number that, when multiplied by itself, equals the desired value. So, for example, the square root of 49 is 7 (7x7=49). The process of multiplying a number times itself is called squaring.
A car travels 10 km southeast and then 15 km in a direction 60° north of east. Find the magnitude of the car's resultant vector.
Answer:
-10sin45+15cos60=Hor distance = 5.92 km
-10cos45+15sin60=ver distance = .429 km
resultant is sqrt(5.922+.4292)= 5.94 km at angle arctan(.429/5.92)= 1.77 degrees north of east
Step-by-step explanation:
help with steps
questions on image
Answer:
24
Step-by-step explanation:
all odd numbers possible: 1, 3, 5, 7
__ __ __ __
there are 4 possibilities for the first blank
for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used
for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used
for the last blank there is only 1 possibility
so the number of solutions possible is 4 x 3 x 2 x 1 = 24
I need help completing this question.
Answer:
9.73556* 10^34
Step-by-step explanation:
A day and a half is 36 hours ( 1 day is 24 hours)
1.5 days is 24 * 1.5 = 36 hours
P(t) = 300 ( 2) ^ 3t
t = 36
p(36) = 300 * 2^ (3*36)
= 300 * 2^108
=9.73556* 10^34
Solve the system of equations by graphing.
y = 3x - 2
x + y = 6
what is 25 divided by 4(bonus question)
Answer:
6.25
Step-by-step explanation:
Here it is, I hope it shows up clearer
How is 6% expressed as a fraction in lowest terms
Which of the following statements is true?
The range is the set of all input values and is the independent variable.
The domain is the dependent variable and is determined by the range.
The independent variable varies as the dependent variable varies
The independent variable is the input value
Answer:
TRUE
TRUE
FALSE
FALSE
TRUE
Answer:
first one is true
Step-by-step explanation:
Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
=============================================
Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
answer???? i need help asap
Answer:
what kind?
Step-by-step explanation:
Answer:55
Step-by-step explanation:
55
Pick the corrrect one form the dropdown
Answer:
hard
Step-by-step explanation:
you're correct
View the lane below and calculate the slope
by using the slope formula
Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 12) ← 2 points on the line
m = [tex]\frac{12-0}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4
Answer:
The slope of this line is 4.
Step-by-step explanation:
Pick any 2 points on the graph you want, just make sure they land perfectly on where the line meets the grid. I'll pick (1, 4) and (2, 8) here.
The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) and (x2, y2) are the first and second points you picked above. Now, all you need to do is plug those 2 points into the formula and solve.
[tex]m=\frac{8-4}{2-1}\\\\m=\frac{4}{1}\\\\m=4[/tex]
The slope of this line is 4.
Marty was renting a boat and wanted to get the best plan. Rental plan A charges a fee of
$50 plus $25 per hour. Plan B charges a fee of $10 plus $35 per hour.
Using systems of equations, answer the following questions. Show all your work.
Part A: Write a system of equations the represent the situation. (Be sure to identify the
variables.)
Answer:
?
Step-by-step explanation:
i'm sorry i'm just trying to get points this is my test and i need to know the answer and then i found the " Add answer ( 5 points ) and it was like calling my name so i am here now...bye
The system of equations that represent the situation are as follows;
C = $50 + $25hC = $10 + $35h.According to the question;
Mary was trying to rent a boat and wanted to get the best plan.Let C = Charged feesand h = hours of rentalFor Plan A:
Rental plan A charges a fee of$50 plus $25 per hour.C = $50 + $25hFor Plan B:
Plan B charges a fee of $10 plus $35 per hour.C = $10 + $35h.Read more on rental charges;
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Aaron and Kevin are on the school golf team. Aaron buys 6 cheap golf balls and 4 expensive ones for $18.00. Kevin buys 4 cheap and 3 expensive balls for $13.00.
can soomeone plz help me
On February 26, Berkshire Hathaway closed at $197,690 per share. One year earlier, one share closed at $223,970. What was an approximate one-year percent change?
Answer:
13%
Step-by-step explanation:
formula : old number - New number/ old number x 100
So 197,690 - 223,970 / 197,690 x 100
which is about 13% percent after calculation
or 13.2935403915% to be exact
Answer:
Step-by-step explanation:
Answer:
13%
Step-by-step explanation:
formula : old number - New number/ old number x 100
So 197,690 - 223,970 / 197,690 x 100
which is about 13% percent after calculation
or 13.2935403915% to be exact
Guys this is the last question for the day please help me out.
Answer:
So it's 350 - D - B.
And 350 - A - D.
Hope that helped?
If AB∥ED and m∠ABC = m∠DEF. Prove CB|| EF.
Explanation:
( ) . . . . stuff that is given
∠ABE ≅∠DEG . . . . corresponding angles at a transversal
∠ABC +∠CBE = ∠ABE . . . . angle addition postulate
∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality
∠DEF +∠FEG = ∠DEG . . . . angle addition postulate
∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality
∠FEG = ∠ABE -∠ABC . . . . substitution property of equality
∠CBE = ∠FEG . . . . substitution property of equality
CB║EF . . . . converse of corresponding angles theorem
Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1
Answer:
-3
Step-by-step explanation:
x
+
3
=
O
A
=
−
x
+
13
=
X
=
−
3
=
=
−
3
1
=
=
−
3
1
=
=
−
3
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer: A. they will have too much butter
Step-by-step explanation: to much
please help 31 pts and brainlist if you give me a step by step explanation on how to do this
Answer: Hence, by ASA ( Angle side Angle) Rule of congruency two triangles;
Angle ADE = CDF Hence proved.
Step-by-step explanation:Diagram of two triangles are given such that side ED = FD and <AED = < CFD = 90
To Find: TO prove <ADE = <CDF
Solution; In figure ; we can see that <EDA and <FDC are vertically opposite angles and hence are equal.
=> <EDA = <FDC |Vertically opposite angles
<DEA = <CFD = 90 |Given
Also, ED = FD |Given
Hence, by ASA (Angle Side Angle)
Rule of congruency two triangles; <ADE = <CDF
Hence Proved.
After a rotation, A(-3,4) maps to A/4, 3), B(4.-5) maps to BY-5,-4), and C(1,6) maps to C(6.-1). Which rule
describes the rotation?
O RO 90
O Ra 180°
O Ro 270
ORO 360°
Answer:
3rd option
Step-by-step explanation:
Under a rotation about the origin of 270°
a point (x, y ) → (y, - x ) , then
A (- 3, 4 ) → (4, - 3 )
B (4, - 5 ) → (- 5, - 4 )
C (1, 6 ) → (6, - 1 )
The center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).
What is coordinate plane?The coordinate plane is a two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.
The given information suggests that each point has been rotated 90 degrees counterclockwise around some point (h, k) on the coordinate plane.
To find this point, we can use the fact that the midpoint of the line segment joining each point to its image must be the center of rotation.
Midpoint of segment AA'/4: ((-3 + 4)/2, (4 + 3)/2) = (1/2, 7/2)
Midpoint of segment BB'/5: ((4 - 5)/2, (-5 - 4)/2) = (-1/2, -9/2)
Midpoint of segment CC'/6: ((1 + 6)/2, (6 - 1)/2) = (7/2, 5/2)
Thus, the center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).
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Which condition in the figure below will
prove l || m?
Step-by-step explanation:
option C is correct
hope this answer helps you! take care
Answer:
0ption C is correct hope it correct have good day
Step-by-step explanation: